Existence and Uniqueness of Weak solution of p( x ) - laplacian in\n Sobolev spaces with variable exponents in complete manifolds

2020/06/08 by Omar Benslimane, Benslimane, Omar, Ahmed Aberqi +3
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2006.04763

openalex publication_date 2020/06/08 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The paper deals with the existence and uniqueness of a non-trivial solution\nto non-homogeneous p ( x ) -laplacian equations, managed by non polynomial\ngrowth operator in the framework of variable exponent Sobolev spaces on\nRiemannian manifolds. The mountain pass Theorem is used.\n

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